Inside of a rubik - Dec 16, 2019 · A Rubik’s Cube has one core, eight corner cubies, and 12 edge cubies. The immediate math to be done with those numbers is the total number of ways you can scramble a Rubik’s cube: 43,252,003,274,489,856,000. Written in a more mathematical way, that number is (3 8 8!) (2 12 12!)/12. Here’s how that comes together.

 
Apply the inverse rotations of the backward algorithm to revert the cube to the solved cube (or the initial position). Let's take a short algorithm for the demonstration, the Cross: U F B’ L2 U2 L2 F’ B U2 L2 U. Written backwards: U L2 U2 B F’ L2 U2 L2 B’ F U. Replace the moves with the inverse rotations: U’ L2 U2 B’ F L2 U2 L2 B F ... . 26 federal plaza 9th floor suite 9 110

This Rubik's cube is the easiest and the hardest at the same time. It's 1x1 and the fun part about it is that it's always in the solved state. It seems prett...Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together.Get your Rubik's cube...4. 13x13 Power Speed Cube Puzzle. Creators have strived to develop new and harder twisty puzzles as a version of the original Rubik’s Cube. The most common type of the Rubik’s Cube is like the 3x3 but bigger. They can be 13x13 or N x N, also known as ‘Reduction’ or ‘Redux’.4. 13x13 Power Speed Cube Puzzle. Creators have strived to develop new and harder twisty puzzles as a version of the original Rubik’s Cube. The most common type of the Rubik’s Cube is like the 3x3 but bigger. They can be 13x13 or N x N, also known as ‘Reduction’ or ‘Redux’.View your 2x2 Rubik’s Cube from the top. Orient your cube so the white face you solved is at the bottom. Check for all the yellow corner pieces remaining. [4] 2. If you only see 1 yellow corner on the top face, use 1 algorithm. Use (R U2) (R’ U’R’ U’R’) if you see 1 yellow piece in the right hand corner.May 16, 2017 · In the CSS, we set the transform property of the .cube element to a rotate3d (var (--i), var (--j), 0, var (--a)) chained to a previous value of the transform chain var (--p). In order to simplify things, we keep the component of the unit vector of the axis of rotation along the z axis fixed to 0. Jul 22, 2023 · Solving the First Layer. 1. Choose a face. As a beginner, choosing to begin with the yellow-colored face is most common and highly recommended. Although you can solve the Pyraminx by starting with any color, yellow is highly recommended as it is similar to the white face of the Rubik's cube. Inside Rubik's cube and beyond Bookreader Item Preview ... Rubik's Cube, Mathematical models, Group theory Publisher Boston : Birkhäuser CollectionProduct Information. On January 30, 1975 Ernd Rubik j r., professor of architecture and design in Budapest, was granted the Hungarian patent number 170062 for a "terbeli logikai jatek"-a game of spatial logic. Between 1978 and March 1981 this object-Bt1vos Kocka in Hungary, der Magische Wiirfel or Zauberwiirfel in Germany, Ie Cube Hongrois in ... C. Bandelow. On January 30, 1975 Ernd Rubik j r. , professor of architecture and design in Budapest, was granted the Hungarian patent number 170062 for a "terbeli logikai jatek"-a game of spatial logic. Between 1978 and March 1981 this object-Bt1vos Kocka in Hungary, der Magische Wiirfel or Zauberwiirfel in Germany, Ie Cube Hongrois in France ... The 4×4×4 and larger cubes use an extended notation to refer to the additional middle layers. Generally speaking, uppercase letters ( F B U D L R) refer to the outermost portions of the cube (called faces). Lowercase letters ( f b u d l r) refer to the inner portions of the cube (called slices).Bounds on Solving a Rubik’s Cube The number of possible permutations of the squares on a Rubik’s cube seems daunting. There are 8 corner pieces that can be arranged in 8! ways, each of which can be arranged in 3 orientations, giving 38 possibilities for each permutation of the corner pieces. There are 12 edge pieces which can be arranged in ... Inside Rubik's Cube And Beyond| C Bandelow. I Choose You 2. Learning outcomes. 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars. Be a mother to my children. The Nervous Housewife. By Shore and Sedge. Shared By Two (Seeding Eden 2) by Aya Morningstar.# Inside the Rubik's Cube What is inside the rubik's cube? It starts with an imagination of a space that rotates around regarding gravity. Where do we stand? Why do we have to stand on the same side? I think every combination is each a unique answer. So, be one of the answers! We are all all right :D The best overall performer in our testing, the GAN 11 M Pro is a pleasure to use. We loved its smooth feel, ample adjustments, and satisfyingly snappy core and corner magnets. Its relatively high ...This video tutorial will teach you how to disassemble and reassemble 2x2 Rubik's Cube puzzles. See the process of the 2x2 Rubiks Cube disassembly and reassembly, which is very handy for the ever-necessary lubing (especially for speedsolving), curiosity and cheating (cheating is not recommended). There are three different 2x2 puzzles that you ...On January 30, 1975 Ernd Rubik j r., professor of architecture and design in Budapest, was granted the Hungarian patent number 170062 for a "terbeli logikai jatek"-a game of spatial logic. how to make a cube in a cube in a cube on the rubiks cubeThis is a very easy Cue in a cube in a cube pattern. Rubiks cube patterns are very easy and fun to m...February 24, 2021 9:52am. Netflix. Sue Kim, director of an Oscar-shortlisted short documentary about competitive Rubik’s Cubers, can solve a complex storytelling puzzle in under 40 minutes. In ...Feb 24, 2021 · February 24, 2021 9:52am. Netflix. Sue Kim, director of an Oscar-shortlisted short documentary about competitive Rubik’s Cubers, can solve a complex storytelling puzzle in under 40 minutes. In ... Apply the inverse rotations of the backward algorithm to revert the cube to the solved cube (or the initial position). Let's take a short algorithm for the demonstration, the Cross: U F B’ L2 U2 L2 F’ B U2 L2 U. Written backwards: U L2 U2 B F’ L2 U2 L2 B’ F U. Replace the moves with the inverse rotations: U’ L2 U2 B’ F L2 U2 L2 B F ...Rubik's cube is a toy puzzle designed by Erno Rubik during the mid-1970s. It is a cube-shaped device made up of smaller cube pieces with six faces having differing colors. The primary method of manufacture involves injection molding of the various component pieces, then subsequent assembly, labeling, and packaging.A Rubik’s Cube has one core, eight corner cubies, and 12 edge cubies. Creative Commons/Wikivisual The immediate math to be done with those numbers is the total number of ways you can scramble a...Okay. Might just be dust, but probably silicone spray residue. Yes, you can clean it if you want. It is ground plastic dust. This is common especially with new or unlubricated cubes. Take it part and wash the pieces in soapy water, lube and reassemble. It will be a lot smoother. Inside Rubik's cube and beyond. 1982, Birkhäuser. in English. 3764330783 9783764330781. aaaa. Not in Library. Libraries near you: WorldCat. Add another edition?The first is designing the bottom 2/3's of the box and hollowing it out. You will want to create small indents for where the cubes will go. Then you will want to create cubes that have the right measurements and are the right quantity. The next step is to design the last 1/3 of the box. Make it the same measurements but instead of an indent ...Feb 20, 2021 · This is a tutorial on how to solve a Rubik’s cube inside a paper bag. It is a magic trick with a real cube that you might have seen performed on TV.Buy a sp... 7.1K views 5 years ago. What is inside of a 3x3 Rubik's Cube? Have you ever wonder what's the famous Rubik's Cube looks like on the inside? By Crazy Russian Official Show more.Aug 21, 2021 · Cube in a Cube in a Cube in a Cube - 4x4 Rubik’s cube Pattern Tutorial Here is our new video of Rubik’s cube 4x4 Cube in a cube in a cube in a cube Tutorial. Another book on Rubik's cube? Yes, but for ardent cubemeisters and all those who are interested in the mathematics of the cube, it was very much worth doing. It is a splendid book, clearly written, enlivened by delightful cartoons, and containing a wealth of informa­ tion not to be found in any other book." -MARTIN GARDNERProduct Information. On January 30, 1975 Ernd Rubik j r., professor of architecture and design in Budapest, was granted the Hungarian patent number 170062 for a "terbeli logikai jatek"-a game of spatial logic. Between 1978 and March 1981 this object-Bt1vos Kocka in Hungary, der Magische Wiirfel or Zauberwiirfel in Germany, Ie Cube Hongrois in ...Sep 2, 2022 · But of course I can't forget about Rubik's. Back in July, I wrote about Rubik's opening up a new location on the east side. For a long while the only one in town was located on Mesa on the west side. After months of teasing & waiting, the wait is finally over as they opened up their 2nd location this weekend: Located at 9910 Montana. Apr 9, 2015 · Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together.Get your Rubik's cube... Okay. Might just be dust, but probably silicone spray residue. Yes, you can clean it if you want. It is ground plastic dust. This is common especially with new or unlubricated cubes. Take it part and wash the pieces in soapy water, lube and reassemble. It will be a lot smoother.Jun 5, 2019 · Anything can be done if you focus really hard! In this time-lapse, I solve a 21x21x21 Rubik's Cube! My next goal will be the 31x31x31. If this video gains tr... Okay. Might just be dust, but probably silicone spray residue. Yes, you can clean it if you want. It is ground plastic dust. This is common especially with new or unlubricated cubes. Take it part and wash the pieces in soapy water, lube and reassemble. It will be a lot smoother. Another book on Rubik's cube? Yes, but for ardent cubemeisters and all those who are interested in the mathematics of the cube, it was very much worth doing. It is a splendid book, clearly written, enlivened by delightful cartoons, and containing a wealth of informa­ tion not to be found in any other book." -MARTIN GARDNERJan 6, 2023 · I was given an 11x11x11 Rubik's cube as a gift. It came with a guide book that I have been following to solve the cube. After solving four of the 9x9 sub-centers of the cube, and after solving the 5x5 sub-centers of the remaining two faces, the guidebook prompts to solve the 7x7 sub-centers. A Rubik’s Cube has one core, eight corner cubies, and 12 edge cubies. Creative Commons/Wikivisual The immediate math to be done with those numbers is the total number of ways you can scramble a...Aug 24, 2014 · An explanation to the workings and layout of a 3x3x3 Rubik's cube The 1x1x1 cube is a cube that is always in the solved state. It cannot be turned in any way because it is only one little cubie. The cube's only purposes are for fun and collecting, although some people will correctly say that it is the hardest cube to solve. The current unofficial World Record for the 1x1x1 Rubik's Cube is 0.001 seconds by both Kewbix and Mr Cube. The cube is made from a ...REDDIT https://www.reddit.com/r/dopeornopesubmissionsHigh Steaks https://www.youtube.com/watch?v=_ZUr3kaz5wIIT'S PUZZLE TIME. Today we are looking throug...how to make a cube in a cube in a cube on the rubiks cubeThis is a very easy Cue in a cube in a cube pattern. Rubiks cube patterns are very easy and fun to m...Ever wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together. Get your Rubik's cube here: https://goo.gl/BEo1W5 Made with Blender 2.73 Music: "Plain Truth" by Gunar Olsen (youtube audio library) #rubiks #rubikscube #b3dThe first is designing the bottom 2/3's of the box and hollowing it out. You will want to create small indents for where the cubes will go. Then you will want to create cubes that have the right measurements and are the right quantity. The next step is to design the last 1/3 of the box. Make it the same measurements but instead of an indent ...Apr 1, 2021 · Learning to solve a Rubik's Cube can be easy!Where I get my cubes:1x1 https://speedcubeshop.com/products/1x1-speed-cube3x3 https://speedcubeshop.com/prod... Rubik's cube is a toy puzzle designed by Erno Rubik during the mid-1970s. It is a cube-shaped device made up of smaller cube pieces with six faces having differing colors. The primary method of manufacture involves injection molding of the various component pieces, then subsequent assembly, labeling, and packaging. Bounds on Solving a Rubik’s Cube The number of possible permutations of the squares on a Rubik’s cube seems daunting. There are 8 corner pieces that can be arranged in 8! ways, each of which can be arranged in 3 orientations, giving 38 possibilities for each permutation of the corner pieces. There are 12 edge pieces which can be arranged in ... Sep 2, 2020 · Shop our Rubik's MINI 2x2 range here:UK: https://bit.ly/2F62mLQEU: https://bit.ly/3lP8zgiUSA: https://bit.ly/2F0UcVrBe a solver of tomorrow and check out our... Sep 16, 2016 · The movie shows him downloading files onto an SD card and then hiding it inside a Rubik’s cube. He then avoids running the Rubik’s cube through security by tossing it to a security guard, who ... # Inside the Rubik's Cube What is inside the rubik's cube? It starts with an imagination of a space that rotates around regarding gravity. Where do we stand? Why do we have to stand on the same side? I think every combination is each a unique answer. So, be one of the answers! We are all all right :DUpdate: New and improved version. Faster, better, and supports more devices. Solving the Rubik's Mini Cube (2x2x2) may sometimes seem like an easy task comparing to solving its predecessor the original Rubik's Cube (3x3x3), however it can still pose a decent challenge for most of us - especially when trying to solve it in the shortest possible way. Dec 16, 2019 · A Rubik’s Cube has one core, eight corner cubies, and 12 edge cubies. The immediate math to be done with those numbers is the total number of ways you can scramble a Rubik’s cube: 43,252,003,274,489,856,000. Written in a more mathematical way, that number is (3 8 8!) (2 12 12!)/12. Here’s how that comes together. This is the smallest Rubik's Cube you can get, at only 1 cm across! I wonder if there's any rule against using this mini cube in a competition 👀Buy it here ...how to make a cube in a cube in a cube on the rubiks cubeThis is a very easy Cue in a cube in a cube pattern. Rubiks cube patterns are very easy and fun to m...On January 30, 1975 Ernd Rubik j r., professor of architecture and design in Budapest, was granted the Hungarian patent number 170062 for a "terbeli logikai jatek"-a game of spatial logic. Between 1978 and March 1981 this object-Bt1vos Kocka in Hungary, der Magische Wiirfel or Zauberwiirfel in Germany, Ie Cube Hongrois in France and the Magic Cube ... Erno Rubik, who devised one of the world’s most popular and enduring puzzles, opens up about his creation in his new book, “Cubed.”. 140. Erno Rubik, who invented the Rubik’s Cube, wrote ...solve Rubik’s cube (and other similar puzzles such as larger cubes and other shapes), not so fast, but understanding each step. The moves that one can perform on Rubik’s cube form a mathematical structure called agroup. One can solve Rubik’s cube using two basic ideas from group theory:commutatorsandconjugation. 7.1K views 5 years ago. What is inside of a 3x3 Rubik's Cube? Have you ever wonder what's the famous Rubik's Cube looks like on the inside? By Crazy Russian Official Show more.Shop our Rubik's MINI 2x2 range here:UK: https://bit.ly/2F62mLQEU: https://bit.ly/3lP8zgiUSA: https://bit.ly/2F0UcVrBe a solver of tomorrow and check out our...Online Rubik's Cube, 4x4x4 and other NxNxN cube solver and simulator. Set up a scramble to find the rotations leading to the solutionEver wonder what a Rubik's Cube looks like on the inside? In this video we'll take an in-depth look to see how the pieces fit together. Get your Rubik's cube here: https://goo.gl/BEo1W5 Made with Blender 2.73 Music: "Plain Truth" by Gunar Olsen (youtube audio library) #rubiks #rubikscube #b3d Sep 2, 2020 · Shop our Rubik's MINI 2x2 range here:UK: https://bit.ly/2F62mLQEU: https://bit.ly/3lP8zgiUSA: https://bit.ly/2F0UcVrBe a solver of tomorrow and check out our... Inside Rubik's cube and beyond. 1982, Birkhäuser. in English. 3764330783 9783764330781. aaaa. Not in Library. Libraries near you: WorldCat. Add another edition?Mar 24, 2023 · THE ORIGINAL RUBIK’S CUBE: A combination of mathematics, art and science - the iconic Rubik’s Cube challenges your mind and problem-solving skills. The classic 3x3 Rubik’s Cube is the world’s best-known addictive puzzle and has fascinated fans since its launch in 1980. Apr 1, 2021 · Learning to solve a Rubik's Cube can be easy!Where I get my cubes:1x1 https://speedcubeshop.com/products/1x1-speed-cube3x3 https://speedcubeshop.com/prod... The first is designing the bottom 2/3's of the box and hollowing it out. You will want to create small indents for where the cubes will go. Then you will want to create cubes that have the right measurements and are the right quantity. The next step is to design the last 1/3 of the box. Make it the same measurements but instead of an indent ... For the puzzle’s 15th anniversary in 1995, Diamond Cutters International created a fully-functional Rubik’s Cube made out of 185 carats of diamonds. Worth $1 million at the time, the company ...A couple of my friends had the same problem. They have Guhongs, one used jig-a-loo and the white residue started appearing the next day. The other never lubricated his cube and it still formed. I don't have what you're describing, but on my Zhanchi, a little bit of oily residue collects in the cracks between the two halves of the edge pieces.This video tutorial will teach you how to disassemble and reassemble 2x2 Rubik's Cube puzzles. See the process of the 2x2 Rubiks Cube disassembly and reassembly, which is very handy for the ever-necessary lubing (especially for speedsolving), curiosity and cheating (cheating is not recommended). There are three different 2x2 puzzles that you ...THE ORIGINAL RUBIK’S CUBE: A combination of mathematics, art and science - the iconic Rubik’s Cube challenges your mind and problem-solving skills. The classic 3x3 Rubik’s Cube is the world’s best-known addictive puzzle and has fascinated fans since its launch in 1980.Shop our Rubik's MINI 2x2 range here:UK: https://bit.ly/2F62mLQEU: https://bit.ly/3lP8zgiUSA: https://bit.ly/2F0UcVrBe a solver of tomorrow and check out our...Mar 12, 2019 · The patent approval finally came in early 1977 and the first Cubes appeared at the end of 1977. By this time, Erno Rubik was married. Two other people applied for similar patents at about the same time as Rubik. Terutoshi Ishige applied a year after Rubik, for a Japanese patent on a very similar cube. An American, Larry Nichols, patented a cube ... But of course I can't forget about Rubik's. Back in July, I wrote about Rubik's opening up a new location on the east side. For a long while the only one in town was located on Mesa on the west side. After months of teasing & waiting, the wait is finally over as they opened up their 2nd location this weekend: Located at 9910 Montana.Product Information. On January 30, 1975 Ernd Rubik j r., professor of architecture and design in Budapest, was granted the Hungarian patent number 170062 for a "terbeli logikai jatek"-a game of spatial logic. Between 1978 and March 1981 this object-Bt1vos Kocka in Hungary, der Magische Wiirfel or Zauberwiirfel in Germany, Ie Cube Hongrois in ... Jan 6, 2023 · I was given an 11x11x11 Rubik's cube as a gift. It came with a guide book that I have been following to solve the cube. After solving four of the 9x9 sub-centers of the cube, and after solving the 5x5 sub-centers of the remaining two faces, the guidebook prompts to solve the 7x7 sub-centers. Douglas Hofstadter wrote an excellent introduction to the Rubik’s cube in the March 1981 issue of Scienti c American. There are several books about the Rubik’s cube; my favorite is Inside Rubik’s Cube and Beyond by Christoph Bandelow. David Singmaster, who developed much of the usual notation for the Rubik’s cube, 2. Solving the tips and centers. The solution of the Pyraminx begins with turning the 4 corners ( A) to match the center pieces. Tthis is just a simple turn for each corner because the three sides of the center pieces ( B) are linked together. When the tips are OK, deep turn the puzzle to make the three center colors match on all faces.Ian Scheffler in Los Angeles. Fri 2 May 2014 11.00 EDT. Last modified on Fri 4 Sep 2020 12.56 EDT. O n a low stage, a young man examined a Rubik’s Cube. Around him, an audience stood ...Jul 13, 2020 · The Mathematical Mystery Behind Rubik’s Cube. Forty-three quintillion. Or more precisely, 43,252,003,274,489,856,000. This impressive figure is the number of tile combinations possible in the Rubik’s Cube (also known as the Magic Cube), the most famous puzzle of all times. Bearing this data point in mind, it is not surprising that the goal ... 4. 13x13 Power Speed Cube Puzzle. Creators have strived to develop new and harder twisty puzzles as a version of the original Rubik’s Cube. The most common type of the Rubik’s Cube is like the 3x3 but bigger. They can be 13x13 or N x N, also known as ‘Reduction’ or ‘Redux’.Apr 1, 2021 · Learning to solve a Rubik's Cube can be easy!Where I get my cubes:1x1 https://speedcubeshop.com/products/1x1-speed-cube3x3 https://speedcubeshop.com/prod... Therefore we cannot solve the 5x5x5 cube. This is correct, but as the OP says that the centre caps are removable, it can be made solvable fairly easily. Just shift a middle layer one quarter turn, and rearrange that layer's centre caps to match the corners (i.e. arrange them as if to undo that quarter turn).A Rubik’s Cube has one core, eight corner cubies, and 12 edge cubies. The immediate math to be done with those numbers is the total number of ways you can scramble a Rubik’s cube: 43,252,003,274,489,856,000. Written in a more mathematical way, that number is (3 8 8!) (2 12 12!)/12. Here’s how that comes together.Nov 6, 2022 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...

Bounds on Solving a Rubik’s Cube The number of possible permutations of the squares on a Rubik’s cube seems daunting. There are 8 corner pieces that can be arranged in 8! ways, each of which can be arranged in 3 orientations, giving 38 possibilities for each permutation of the corner pieces. There are 12 edge pieces which can be arranged in ... . Glp 1 meds

inside of a rubik

Jul 22, 2023 · Solving the First Layer. 1. Choose a face. As a beginner, choosing to begin with the yellow-colored face is most common and highly recommended. Although you can solve the Pyraminx by starting with any color, yellow is highly recommended as it is similar to the white face of the Rubik's cube. ture inside is the key to the Rubik ... Solving Rubiks Cube Using Open CV. Article. Jun 2022; Sudhan M.B; The Rubik’s cube is 3D combinatorial and mechanical puzzle invented in 1974. It ...1 year later and I am back (again, again)More alcohol. More Rubik's Cubes.Leave some questions for Episode 4's Q&A!I'm thinking of live streaming on Twitch s...The Rubik’s Cube was invented in 1974 by Ernõ Rubik, a Hungarian architecture professor. Rubik later used the Cube as a learning exercise to teach his students about 3-dimensional spaces. Little did he know his “Magic Cube” (as he originally named it) would become one of world’s most famous puzzles of all time! Bounds on Solving a Rubik’s Cube The number of possible permutations of the squares on a Rubik’s cube seems daunting. There are 8 corner pieces that can be arranged in 8! ways, each of which can be arranged in 3 orientations, giving 38 possibilities for each permutation of the corner pieces. There are 12 edge pieces which can be arranged in ...Nov 6, 2022 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... Apr 1, 2021 · Learning to solve a Rubik's Cube can be easy!Where I get my cubes:1x1 https://speedcubeshop.com/products/1x1-speed-cube3x3 https://speedcubeshop.com/prod... For today's challenge, I am going to solve a 3x3x3 Rubik's cube that is missing one of the corner pieces!Buy SpeedCubes here: http://www.speedcubeshop.com?rf...This is the smallest Rubik's Cube you can get, at only 1 cm across! I wonder if there's any rule against using this mini cube in a competition 👀Buy it here ...The Rubik’s Cube was invented in 1974 by Ernõ Rubik, a Hungarian architecture professor. Rubik later used the Cube as a learning exercise to teach his students about 3-dimensional spaces. Little did he know his “Magic Cube” (as he originally named it) would become one of world’s most famous puzzles of all time! Inside Rubik's Cube And Beyond| C Bandelow. I Choose You 2. Learning outcomes. 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars. Be a mother to my children. The Nervous Housewife. By Shore and Sedge. Shared By Two (Seeding Eden 2) by Aya Morningstar. REDDIT https://www.reddit.com/r/dopeornopesubmissionsHigh Steaks https://www.youtube.com/watch?v=_ZUr3kaz5wIIT'S PUZZLE TIME. Today we are looking throug....

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